Results 1  10
of
1,327
SAYRE EQUATION, TANGENT FORMULA AND SAYTAN
"... V the volume of a unit cell r realspace positional vector defined within a unit cell ρ (r) electron density function with r as argument h reciprocallattice vector, which corresponds to the diffraction index hkl Fh the structure factor with h as argument; the Fourier transform of ρ (r) Fsq h the Fo ..."
Abstract
 Add to MetaCart
corresponding to Fh Eh the magnitude of Eh σn = Σj (Zj)n, Zj is the atomic number of the jth atom in the unit cell, n is an integer 2. Sayre’s equation The Sayre equation [1] is an exact equation linking structure factors. It holds under the following conditions: i) positivity; ii) atomicity; iii) equal
Direct Methods in Superspace. I. Preliminary Theory and Test on the Determination of Incommensurate Modulated Structures
, 1987
"... The validity of the Sayre equation [Sayre (1952). Acta Cryst. 5, 6065] for (3+n)dimensional periodic structures i examined. A practical procedure is proposed for the determination of incommensurate modulated structures; this is an extension of the direct method previously proposed for solving sup ..."
Abstract
 Add to MetaCart
The validity of the Sayre equation [Sayre (1952). Acta Cryst. 5, 6065] for (3+n)dimensional periodic structures i examined. A practical procedure is proposed for the determination of incommensurate modulated structures; this is an extension of the direct method previously proposed for solving
Integration of Direct Methods With Macromolecular Crystallographic Techniques
"... The role of direct methods in macromolecular crystallography is discussed. The common belief that such methods will still remain marginal is rejected. Different sectors are analyzed. A direct procedure for phasing reflections when diffraction data of one isomorphous derivative are available is brief ..."
Abstract
 Add to MetaCart
several years ago. It was soon realized that Sayre equation, tangent formula, KarleHauptman d...
Choosing integration methods when solving differential equations
"... Abstract: There are two common types of solution methods for solving simple integrals: using integration constants or using limits of integration. We use the resources framework to model student solution methods. Preliminary results indicate both problematic and meaningful intersections of physical ..."
Abstract
 Add to MetaCart
meaning and mathematical formalism when solving linked integrals. Students solving separable first order differential equations in typically use two methods: an integration constant (“+C”) or limits of integration. The two methods are similar, involving antiderivatives and boundary conditions. But, we
Surface structure solution by Xray diffraction: structure completion with positivity and atomicity constraints
, 2002
"... We propose a method for the solution of surface structures from Xray diffraction based on the phasing of measured structure factor amplitudes in two stages. First, incorporation of calculated amplitudes and phases of the structure factors of the known underlying bulk structure, together with an ite ..."
Abstract
 Add to MetaCart
with an iterative algorithm that ensures the positivity of the electron density enables the determination of the amplitudes and phases of the surface structure factors contributing to the crystal truncation rods. Second, inclusion of these structure factors in an iterative algorithm based on Sayre’s equations
FIG. 1. A solution to the Sverdrup balance equation, that depends
, 1999
"... linear, vertically integrated vorticity equation. ..."
Boundary Integral Equations for Viscous Flows  nonNewtonian Behavior and Solid Inclusions
, 2004
"... Direct boundary integral formulations are developed for the solution of viscous fluid flow problems, specifically for nonNewtonian fluids and fluids containing solids. The partial differential equations are transformed into integral equations by Green’s identities. Here, the velocity field is repre ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Direct boundary integral formulations are developed for the solution of viscous fluid flow problems, specifically for nonNewtonian fluids and fluids containing solids. The partial differential equations are transformed into integral equations by Green’s identities. Here, the velocity field
Title of project: A Constrained JointEquation Estimation of atastation Hydraulic Geometry
"... ii Hydraulic geometry describes the relations between a stream’s discharge and its width, depth and velocity as a system. The continuity equation implies two crossequation constraints, one of which is that the hydraulic exponents should sum to one. Traditional literature, using oneatatime estima ..."
Abstract
 Add to MetaCart
ii Hydraulic geometry describes the relations between a stream’s discharge and its width, depth and velocity as a system. The continuity equation implies two crossequation constraints, one of which is that the hydraulic exponents should sum to one. Traditional literature, using one
Plastic vs. Solid Resources In Upperdivision E&M
"... Abstract: The ability of juniors in physics at Oregon State University to solve for the magnetic vector potential of a spinning ring of charge is analyzed using Sayre and Wittmann’s model of resource plasticity. None of the 17 students, working in groups of two or three, was able to solve the probl ..."
Abstract
 Add to MetaCart
Abstract: The ability of juniors in physics at Oregon State University to solve for the magnetic vector potential of a spinning ring of charge is analyzed using Sayre and Wittmann’s model of resource plasticity. None of the 17 students, working in groups of two or three, was able to solve
History of science and Practice Climax and “Original Capacity”: The Science and Aesthetics of Ecological
, 2010
"... nathan F. sayre AbStRACt This paper examines the historical origins of ecological restoration in the arid and semiarid deserts of the southwestern USA. Scientific knowledge and aesthetic valuations both emerged during a period of acute environmental degradation between 1893 and 1905, strongly influ ..."
Abstract
 Add to MetaCart
nathan F. sayre AbStRACt This paper examines the historical origins of ecological restoration in the arid and semiarid deserts of the southwestern USA. Scientific knowledge and aesthetic valuations both emerged during a period of acute environmental degradation between 1893 and 1905, strongly
Results 1  10
of
1,327